Some remarks on the Dirichlet problem on infinite trees

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2018-11-06 DOI:10.1515/conop-2019-0002
Nikolaos Chalmoukis, Matteo Levi
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引用次数: 7

Abstract

Abstract We consider the Dirichlet problem on in_nite and locally _nite rooted trees, andwe prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W1,p of the tree.
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关于无限树上Dirichlet问题的几点注记
摘要我们考虑了内根树和局部根树上的Dirichlet问题,并证明了连续数据的不规则点集具有零容量。我们还给出了树的Sobolev W1,p中解的一些唯一性结果。
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
期刊最新文献
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